Suppose Harvey owns a small business that produces computer motherboards. He pre

Question

Suppose Harvey owns a small business that produces computer motherboards. He previously owned one machine, machine that produced these motherboards. In an effort to increase production, he recently purchased a new machine, machine B, tha also produces motherboards. Although both machines produce motherboards at the same rate, Harvey suspects that machine A produces fewer defective motherboards than machine B. In order to test this hypothesis, he randomly selects 260 motherboards produced by machine and 200 motherboards produced by machine B. He observes that 13 of the sampled items from machine A are defective and 14 sampled items from machine B are defective. Harvey plans to use the sample data he collected to test if the frequency of defective items produced by machine A is less thar the frequency of defective items produced by machine B. Select the appropriate test that Harvey should perform to test his hypothesis. 0 'O two-sample t-test for two means O one-sample z-test for a mean O one-sample z-test for a proportion O matched-pairs t-test O two-sample z-test for two proportions

Explanation / Answer

two samole z test for proportion is appropriate.

JUSTIFICATION : First of all it is clear that we hhave two samples in our data. One is collected from machine A and another from machine B. So it will definitely be a two sample test. Next, we are trying to test an aattribute, called defectives.

In case of attributes, we cant find statistics such as mean variances. Here we consider 'proportion', like proportion of defectives, or total no. Of defects, etc.. So here in this case..two sample z test for proportion is appropriate.

If you still have any doubts,let me know in the comment section.I will try to help you.Thank you.

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